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The Consistent Preferences Approach to Deductive Reasoning in Games

  • Book
  • © 2006

Overview

Authors:
  1. Geir B. Asheim

    1. University of Oslo, Norway

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  • In this book the 'consistent preferences' approach is used to characterize a wider set of equilibrium concepts, and in particular, to serve as a basis for various types of interactive epistemic analysis where equilibrium assumptions are not made

Part of the book series: Theory and Decision Library C (TDLC, volume 37)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xix
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  2. Introduction

    Pages 1-10

  3. Motivating Examples

    Pages 11-20

  4. Decision-Theoretic Framework

    Pages 21-36

  5. Belief Operators

    Pages 37-51

  6. Basic Characterizations

    Pages 53-67

  7. Relaxing Completeness

    Pages 69-78

  8. Backward Induction

    Pages 79-97

  9. Sequentiality

    Pages 99-114

  10. Quasi-Perfectness

    Pages 115-119

  11. Properness

    Pages 121-132

  12. Capturing forward Induction through Full Permissibility

    Pages 133-154

  13. Applying Full Permissibility to Extensive Games

    Pages 155-174

  14. Back Matter

    Pages 175-202
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Keywords

About this book

During the last decade I have explored the consequences of what I have chosen to call the 'consistent preferences' approach to deductive reasoning in games. To a great extent this work has been done in coop­ eration with my co-authors Martin Dufwenberg, Andres Perea, and Ylva Sovik, and it has lead to a series of journal articles. This book presents the results of this research program. Since the present format permits a more extensive motivation for and presentation of the analysis, it is my hope that the content will be of interest to a wider audience than the corresponding journal articles can reach. In addition to active researcher in the field, it is intended for graduate students and others that wish to study epistemic conditions for equilibrium and rationalizability concepts in game theory. Structure of the book This book consists of twelve chapters. The main interactions between the chapters are illustrated in Table 0.1. As Table 0.1 indicates, the chapters can be organized into four dif­ ferent parts. Chapters 1 and 2 motivate the subsequent analysis by introducing the 'consistent preferences' approach, and by presenting ex­ amples and concepts that are revisited throughout the book. Chapters 3 and 4 present the decision-theoretic framework and the belief operators that are used in later chapters. Chapters 5, 6, 10, and 11 analyze games in the strategic form, while the remaining chapters-Chapters 7, 8, 9, and 12-are concerned with games in the extensive form.

Authors and Affiliations

  • University of Oslo, Norway

    Geir B. Asheim

About the author

Geir B. Asheim is Professor of Economics at the University of Oslo,

Norway. In additional to investigating epistemic conditions for gametheoretic

solution concepts, he is doing research on questions relating to

intergenerational justice.

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